A) \[4.0\text{ }m/s\]
B) \[6.0\text{ }m/{{s}^{2}}\]
C) \[4.0\text{ }m/{{s}^{2}}\]
D) \[6.0\text{ }m/s\]
Correct Answer: A
Solution :
\[{{A}_{1}}=0.09\text{ }\pi {{m}^{2}},~~~~{{\nu }_{1}}=1\text{ }m/s\] \[=\pi {{r}^{2}}\] \[{{A}_{2}}=\pi {{\left( r/2 \right)}^{2}}\,\,{{\nu }^{2}}=?\] \[{{A}_{1}}{{\nu }_{1}}={{A}_{2}}{{\nu }_{2}}\] \[(\pi {{r}^{2}})=\frac{\pi {{r}^{2}}}{4}{{\nu }^{2}}\] \[{{V}_{2}}=4\text{ }m/s\]
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